Simplify the expression \(log_{10}18 - log_{10}2.88+log_{10}16\)
MATHEMATICS
WAEC 2005
Simplify the expression \(log_{10}18 - log_{10}2.88+log_{10}16\)
- A. 31.12
- B. 3.112
- C. 2
- D. 1
Correct Answer: C. 2
Explanation
\(log_{10}18 - log_{10}2.88+log_{10}16\\
=log_{10}18 - log_{10}\left(\frac{288}{100}\right)+log_{10}16 = log_{10}\left(\frac{18\times 16}{1}\times \frac{100}{288}\right)\\
=log_{10}\left(\frac{288\times 100}{288}\right)=log_{10}100=log_{10}10^2=2log_{10}10=2\)
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